Built on

E. Jaynes, Phys. Rev Information Theory and Statistical Mechanics
1957
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V.I. Yudovihc, On the loss of smoothness of the solutions of Euler’s equations with time
1974
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M. Choptuik, Universality and scaling in gravitational collapse of a massless scalar field
1993
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M. Srednicki, Entropy and area
1993
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F. Pretorius and M. W. Choptuik, Gravitational collapse in (2+1)-dimensional AdS space-time
2000
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G. T. Horowitz and V. E. Hubeny, Quasinormal modes of AdS black holes and the approach to thermal equilibrium
2000
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M. Greiner, O.Mandel, T.W. Hänsh and I. Bolch, Collapse and revival of the matter wave field of a Bose-Einstein condensate
2002
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V. E. Hubeny and M. Rangamani, Unstable horizons
2002
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E. Fermi, J. Pasta and S. Ulam, May 1955, Document LA-1940. G. P. Berman and F. M. Izrailev, The Fermi-Pasta-Ulam problem: Fifty years of progress
2005
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P. Calabrese and J. L. Cardy, Evolution of entanglement entropy in one-dimensional systems,
2005
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T. Kinoshita, T. Wenger and D.S. Weiss, A quantum Newton’s cradle
2006
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S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT,
2006
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D. V. Fursaev, Proof of the holographic formula for entanglement entropy,
2006
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M. Rigol, V. Dunjko, V. Yurovsky and Maxim Olshanii. Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States in 1D Lattice Hard-Core Bosons
2007
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V. E. Hubeny, M. Rangamani and T. Takayanagi, A Covariant holographic entanglement entropy proposal,
Original
2007
Earlier work this paper cites.
P. Calabrese and J. Cardy, Entanglement and correlation functions following a local quench: a conformal field theory approach
2007
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G. Vidal, Entanglement Renormalization
2007
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A. Buchel, L. Lehner and S. L. Liebling, Scalar Collapse in AdS
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O. J. C. Dias, G. T. Horowitz, D. Marolf and J. E. Santos, On the Nonlinear Stability of Asymptotically Anti-de Sitter Solutions
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2014

Holographic Relaxation of Finite Size Isolated Quantum Systems

Abajo-Arrastia, Javier, da Silva, Emilia, Lopez, Esperanza et al.

Understand

We study holographically the out of equilibrium dynamics of a finite size closed quantum system in 2+1 dimensions, modelled by the collapse of a shell of a massless scalar field in AdS4.

In global coordinates there exists a variety of evolutions towards final black hole formation which we relate with different patterns of relaxation in the dual field theory.
For large scalar initial data rapid thermalization is achieved as a priori expected.
Interesting phenomena appear for small enough amplitudes.

Built on

E. Jaynes, Phys. Rev Information Theory and Statistical Mechanics
1957
Earlier work this paper cites.
V.I. Yudovihc, On the loss of smoothness of the solutions of Euler’s equations with time
1974
Earlier work this paper cites.
M. Choptuik, Universality and scaling in gravitational collapse of a massless scalar field
1993
Earlier work this paper cites.
M. Srednicki, Entropy and area
1993
Earlier work this paper cites.
F. Pretorius and M. W. Choptuik, Gravitational collapse in (2+1)-dimensional AdS space-time
2000
Earlier work this paper cites.
G. T. Horowitz and V. E. Hubeny, Quasinormal modes of AdS black holes and the approach to thermal equilibrium
2000
Earlier work this paper cites.
M. Greiner, O.Mandel, T.W. Hänsh and I. Bolch, Collapse and revival of the matter wave field of a Bose-Einstein condensate
2002
Earlier work this paper cites.
V. E. Hubeny and M. Rangamani, Unstable horizons
2002
Earlier work this paper cites.
E. Fermi, J. Pasta and S. Ulam, May 1955, Document LA-1940. G. P. Berman and F. M. Izrailev, The Fermi-Pasta-Ulam problem: Fifty years of progress
2005
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, Evolution of entanglement entropy in one-dimensional systems,
2005
Earlier work this paper cites.
T. Kinoshita, T. Wenger and D.S. Weiss, A quantum Newton’s cradle
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT,
2006
Earlier work this paper cites.
D. V. Fursaev, Proof of the holographic formula for entanglement entropy,
2006
Earlier work this paper cites.
M. Rigol, V. Dunjko, V. Yurovsky and Maxim Olshanii. Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States in 1D Lattice Hard-Core Bosons
2007
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani and T. Takayanagi, A Covariant holographic entanglement entropy proposal,
Original
2007
Earlier work this paper cites.
P. Calabrese and J. Cardy, Entanglement and correlation functions following a local quench: a conformal field theory approach
2007
Earlier work this paper cites.
G. Vidal, Entanglement Renormalization
2007
Earlier work this paper cites.